| Title:
|
On naturality of the Helmholtz operator (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
145-149 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator. (English) |
| Keyword:
|
natural operator |
| Keyword:
|
Euler morphism |
| Keyword:
|
Helmholtz operator |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1112.58004 |
| idMR:
|
MR2164663 |
| . |
| Date available:
|
2008-06-06T22:45:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107944 |
| . |
| Reference:
|
[1] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer-Verlag Berlin 1993. MR 1202431 |
| Reference:
|
[2] Kolář, I., Vitolo, R.: On the Helmholtz operator for Euler morphisms.Math. Proc. Camb. Phil. Soc. 135 (2003), 277–299. MR 2006065 |
| . |
